Non-Gaussianity and Excursion Set Theory: Halo Bias

Abstract

We study the impact of primordial non-Gaussianity generated during inflation on the bias of halos using excursion set theory. We recapture the familiar result that the bias scales as $k^{-2}$ on large scales for local type non-Gaussianity but explicitly identify the approximations that go into this conclusion and the corrections to it. We solve the more complicated problem of non-spherical halos, for which the collapse threshold is scale dependent.

13 pages, 3 figures. v2 references added. Matches published version

References in corpus (9)

• The imprints of primordial non-gaussianities on large-scale structure: scale dependent bias and abundance of virialized objects
• Effects of Scale-Dependent Non-Gaussianity on Cosmological Structures
• The Excursion Set Theory of Halo Mass Functions, Halo Clustering, and Halo Growth
• Primordial non-gaussianity, statistics of collapsed objects, and the Integrated Sachs-Wolfe effect
• Primordial non-Gaussianity: large-scale structure signature in the perturbative bias model
• Modeling scale-dependent bias on the baryonic acoustic scale with the statistics of peaks of Gaussian random fields
• A generalized local ansatz and its effect on halo bias
• Excursion Set Theory for generic moving barriers and non-Gaussian initial conditions
• Relativistic effects and primordial non-Gaussianity in the galaxy bias

Cited by in corpus (3)

• Forecasts on the Dark Energy and Primordial Non-Gaussianity Observations with the Tianlai Cylinder Array
• Nonlinear Bias of Cosmological Halo Formation in the Early Universe
• Hunting high and low: Disentangling primordial and late-time non-Gaussianity with cosmic densities in spheres